1. What is the Original Price Formula?

The original price formula calculates the pre-discount price when you know the discounted price and the discount percentage. It's useful for determining how much an item cost before a sale or discount was applied.

2. How Does the Calculator Work?

The calculator uses the original price formula:

Where:

• \( Discounted \) — The sale or discounted price (USD)
• \( \% \) — The discount percentage applied

Explanation: The formula reverses the discount calculation by dividing the discounted price by (1 - discount percentage as decimal).

3. Importance of Original Price Calculation

Details: Knowing the original price helps consumers understand the true value of a discount, compare deals between retailers, and make informed purchasing decisions.

4. Using the Calculator

Tips: Enter the discounted price in USD and the discount percentage (0-99). Both values must be valid (price > 0, percentage between 0-99).

5. Frequently Asked Questions (FAQ)

Q1: Why can't the discount be 100%?
A: Mathematically, a 100% discount would make the denominator zero (1 - 1 = 0), which is undefined. A 100% discount would mean the item is free.

Q2: Does this work for multiple discounts?
A: No, this formula only works for a single discount percentage. For multiple discounts, you'd need to apply them sequentially.

Q3: What if I know the original price and want the discounted price?
A: Use the formula: Discounted = Original × (1 - %/100)

Q4: Does this account for taxes?
A: No, this calculation is pre-tax. Taxes are typically applied after discounts.

Q5: Can I use this for price markups?
A: Yes, by entering a negative "discount" percentage, you can calculate the original price before a markup.